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Simplifying 3 + 6x + 2 = 3x + 11 + 2x Reorder the terms: 3 + 2 + 6x = 3x + 11 + 2x Combine like terms: 3 + 2 = 5 5 + 6x = 3x + 11 + 2x Reorder the terms: 5 + 6x = 11 + 3x + 2x Combine like terms: 3x + 2x = 5x 5 + 6x = 11 + 5x Solving 5 + 6x = 11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + 6x + -5x = 11 + 5x + -5x Combine like terms: 6x + -5x = 1x 5 + 1x = 11 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + 1x = 11 + 0 5 + 1x = 11 Add '-5' to each side of the equation. 5 + -5 + 1x = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 11 + -5 1x = 11 + -5 Combine like terms: 11 + -5 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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